Difference between Yi and yi in statistics notation

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What is the difference between Yi (capital Y, subscript i) and yi (lowercase y, subscript i)?
Is Yi a random variable while yi is a part of a set?
 

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In most cases, Y_i refers to the random variable (i.e. the probability distribution) and y_i to an observation of that variable (e.g. a numerical value).
 
engineer23 said:
What is the difference between Yi (capital Y, subscript i) and yi (lowercase y, subscript i)?
Is Yi a random variable while yi is a part of a set?

The y is the value that Y takes on.

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